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How heavy is 320.01 firkins?

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It's about 300,000 times as heavy as a Golf Ball.
In other words, 320.01 firkins is 284,400 times the weight of a Golf Ball, and the weight of a Golf Ball is 0.000003516 times that amount.
(per R&A USGA Rules of Golf; maximum rule weight)
According to the Rules of Golf (as approved by the United States Golf Association and the Rules Committee of the Royal and Ancient Golf Club of Saint Andrews), golf balls must weigh no more than 0.001125 firkins. Golf balls are not required to have the familiar dimpled pattern, but the design has been popular since its invention in 1905 because it reduces drag while increasing lift.
It's about 400,000 times as heavy as a Light Bulb.
In other words, 320.01 firkins is 380,000 times the weight of a Light Bulb, and the weight of a Light Bulb is 0.0000026 times that amount.
(a.k.a. lamp) (for A19-size, 60w, incandescent bulb by Bulbrite; package weight)
A standard, sixty-watt light bulb weighs about 0.00083 firkins. The tightly-coiled filament inside a bulb of this size would measure about 579mm if uncoiled and stretched out.
It's about one-four-hundred-fifty-thousandth as heavy as The Great Pyramid of Giza.
In other words, the weight of The Great Pyramid of Giza is 450,000 times 320.01 firkins.
(a.k.a. Pyramid of Khufu, a.k.a. Pyramid of Cheops) (Cairo, Egypt)
The Great Pyramid of Giza has an estimated mass of 140,000,000 firkins. The 2,300,000 stones used in the construction of the pyramid weighed an average 56 firkins and were quarried from distances of up to 805 km (500 mi) away.
It's about 550,000 times as heavy as a Battery (AA).
In other words, the weight of a Battery (AA) is 0.0000019 times 320.01 firkins.
(Alkaline)
An "AA" size battery weighs 0.00059 firkins. AA batteries came into common use during World War II and were given their name by the American National Standards Institute (ANSI) Committee C18 because they were smaller than the "A" size batteries which were invented first.
It's about 600,000 times as heavy as a Mouse.
In other words, 320.01 firkins is 620,000 times the weight of a Mouse, and the weight of a Mouse is 0.0000016 times that amount.
(a.k.a. "House mouse", Mus musculus) (adult)
The weight of a mouse is typically an average of 0.00051 firkins. While most mice typically live two to three years, the Methuselah Mouse Prize — an award administered by a non-profit organization which advances aging-related research — was once awarded to a team of scientists whose research resulted in a mouse living just under five years.
It's about 850,000 times as heavy as a Compact disc.
In other words, the weight of a Compact disc is 0.0000011 times 320.01 firkins.
(a.k.a. CD)
A compact disc typically weighs 0.00037 firkins. Data is stored on CDs by encoding into the track a series of tiny pits — each between 3.5 and 850 µm (0.00014 and 0.033 in) in length.
It's about 1,000,000 times as heavy as a Battery (AAA).
In other words, 320.01 firkins is 1,100,000 times the weight of a Battery (AAA), and the weight of a Battery (AAA) is 0.00000091 times that amount.
(Alkaline)
An "AAA" size battery weighs 0.00029 firkins. Batteries are named by the American National Standards Institute (ANSI) Committee C18 and AAA batteries were given their name because they were smaller than the "AA" and "A" size batteries which were invented first.